Least Common Multiple (LCM) of 71 and 147
The least common multiple (LCM) of 71 and 147 is 10437.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 71 and 147?
First, calculate the GCD of 71 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 147 = 0 remainder 71 |
| 2 | 147 ÷ 71 = 2 remainder 5 |
| 3 | 71 ÷ 5 = 14 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 146 | 7884 |
| 179 and 69 | 12351 |
| 28 and 199 | 5572 |
| 109 and 131 | 14279 |
| 164 and 187 | 30668 |